Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day. Which equation or inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks?

Answers

Answer 1

The inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks is 50 ≥ 3.5x + 5

We are given that Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day.

We need to find the equation or inequality that represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks.

Sydney started with zero money in her piggy bank and adds $3.50 each day means 0 + 3.50 and Destiny started with $50 in her piggy bank and spends $5 of her money each day then

the inequality  becomes as ;

50 ≥ 3.5x + 5

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Related Questions

Ravi is saving money to buy a game. The game costs $12, and so far he has saved one-fourth of this cost. How much money has Ravi saved?

Answers

Answer:

$3

Step-by-step explanation:

since $12 is 4/4 and he save 1/4 its 12÷4

Answer:

$3

Step-by-step explanation:

12 divided by 4 is 3

(3+3)+(3+3)

6+6

= 12

At Jamie's bank, 20 bankers manage personal loans and 15 bankers manage business loans. Of those, 3 bankers manage both. If the bank only offers these two types of loans, how many bankers does it employ? A. 17 B. 32 C. 35 D. 38​

Answers

The bank employs a total of 32 bankers, and the answer is not listed among the options provided. The correct option is B.

Let's denote the number of bankers who manage only personal loans as P and the number of bankers who manage only business loans as B. Then, we can use the following information to form equations:

There are 20 bankers who manage personal loans, which means P + 3 bankers in total manage personal loans.

There are 25 bankers who manage business loans, which means B + 3 bankers in total manage business loans.

The bank has a total of X bankers.

Using these equations, we can solve for X as follows:

P + 3 = 20 (equation 1)

B + 3 = 25 (equation 2)

P + B + 3 = X (equation 3)

Solving equation 1 for P, we get P = 17.

Solving equation 2 for B, we get B = 12.

Substituting P = 17 and B = 22 into equation 3, we get:

17 + 12 + 3 = X

Simplifying, we get X = 32.

Therefore, the bank employs a total of 32 bankers, and the answer is not listed among the options provided.

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PLEASE HELP I DON'T UNDERSTAND THIS!!!!!

Answers

Answer:

C. (4, 0)

Step-by-step explanation:

(x, y)

a. (4, 3)

y = 12 - 3x

3 = 12 - 3(4)

3 = 12 - 12

3 = 0  false

b. (-4, 4)

y = 12 - 3x

4 = 12 - 3(-4)

4 = 12 + 12

4 = 24  false

c. (4, 0)

y = 12 - 3x

0 = 12 - 3(4)

0 = 12 - 12

0 = 0  true

d. (0, 4)

y = 12 - 3x

4 = 12 - 3(0)

4 = 12 - 0

4 = 12  false.

Answer:   C   (4, 0)

Step-by-step explanation:

your function y = 12 - 3x

They are asking which of those points are on the line

(x, y)   this is a format of a point where you can plug in x for x and y for y.

a.  (4, 3)  x=4  y=3  substitute and see if your answer is true

   3 = 12 -3(4)

   3 = 0   this is not true so (4, 3) is not a solution

b. (-4,4) x= -4 y=4

  4 = 12 - 3(-4)

  4 = 24  not true

c.  (4, 0)  x=4  y=0

  0 = 12-3(4)

  0 = 0  true      (4,0) is a solution

d. (0, 4)

4 =  12 - 3 (0)

4=12

A new cylindrical can with a diameter of 7 cm is being designed by a local company. The surface area of the can is 180 square centimeters. What is the height of the​ can? Estimate using 3.14 for pi ​, and round to the nearest hundredth. Apply the formula for surface area of a cylinder SA =TB+PH.

Answers

The height of the can is approximately 1.26 cm.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the cylinder and h is its height.

Since the diameter of the can is 7 cm, the radius is 7/2 = 3.5 cm.

We are given that the surface area of the can is 180 square centimeters, so we can set up an equation:

180 = 2π(3.5)² + 2π(3.5)h

Simplifying:

180 = 24.5π + 7πh

180 = 45.5πh

h = 180 / (45.5π)

h = 1.25924790139

h ≈ 1.26 cm (rounded to the nearest hundredth)

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Is the relation a function?

Answers

No, the relation is not a function.

Is the given relation a function?

Given the relation in the question:

x: -2, -4, -1, -4, 5, 3

y: 1, -3, 2, 8, 0, -1

A function is simply a relationship that maps one input to one output.

To determine whether the relation is a function, we need to check whether each x-value in the relation is associated with a unique y-value.

Looking at the x-values, we see that there are repeated values of -4, which means that there are multiple y-values ( -3 and 8 ) associated with x = -4.

The mapping of x to y is not well-defined for all values of x, since one value of x is associated with multiple values of y, hence, it is not a function.

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The functions fand g are defined as follows.
f(x)=2x²-3x g(x)=-4x-1
Find f(-4) and g (5).

f(-4) = ?
g (5) = ?

Answers

Answer:

f(- 4) = 44 , g(5) = - 21

Step-by-step explanation:

to evaluate f(- 4) substitute x = - 4 into f(x)

f(- 4) = 2(- 4)² - 3(- 4) = 2(16) + 12 = 32 + 12 = 44

to evaluate g(5) substitute x = 5 into g(x)

g(5) = - 4(5) - 1 = - 20 - 1 = - 21

What is the volume of this prism?44 cubic units
88 cubic units
102 cubic units
Not enough information.

Answers

The volume of the prism will be 88 cubic units. Then the correct option is B.

Given that:

Length, L = 4 units

Width, W = 4 units

Height, H = 5.5 units

The volume of the prism is given as,

V = L x W x H

The volume of the prism is calculated as,

V = 4 x 4 x 5.5

V = 88 cubic units

The volume of the prism will be 88 cubic units. Then the correct option is B.

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The complete question is given below.

What is the slope of 5x-4y=-24

Answers

Answer: The slope is -5/4

m=-5/4

The equation can be rewritten as y = (5/4)x + 24. Therefore, m = 5/4.

Can someone please help me and give me the answer ASAP

Answers

1. The lateral surface area of the prism is 200 units²

2. The lateral surface area of the cylinder is 125.6 cm²

What is lateral surface area?

The lateral surface area is the area of the lateral surface.

The lateral surface area of a prism is expressed as;

LSA = (a+b+c)h

or perimeter of the base × height

LSA = (6+12+7)8

= 25 × 8

= 200 units²

The lateral surface area of a cylinder

= 2πrh

r = 4cm and h = 5cm

LSA = 2 × 3.14 × 4 × 5

LSA = 40 × 3.14

= 125.6cm²

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Customer: "I don't think that your questions are relevant to our discussion
A. Let me explain how my questions are related to our discussion.
B. I didn't mean to sound negative. Let me start over.
C. I am trying to be nice. I think you took what I said the wrong way.
D. I am very interested in what you have to say.
E. I apologize that you do not find them helpful.

Answers

The best response to such statement will be "Let me explain how my questions are related to our discussion" which is option (A)

What you should know about Customer Dissatisfaction

The statement the customer made shows that he is disappointed with whatever the situation is.

Customer dissatisfaction refers to the feeling of displeasure, frustration, or disappointment that a customer experiences when their expectations are not met by a product or service they have purchased or received. It can arise from various factors, such as poor quality, ineffective communication, slow response times, inadequate support, or a mismatch between customer needs and what is being offered.

To prevent customer dissatisfaction, businesses must focus on providing high-quality products and services, being responsive and attentive to customer needs, and proactively addressing any issues or concerns that arise.

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Can someone help me please????????????????????????????????????

Answers

The percentage error for each of the given situations are:

1) 23%

2) 21%

3) 11%

4) 16.67%

5) 43%

How to find the percent error?

The formula for percent error is:

Percentage Error = ((Actual Number – Estimated Number)/ Estimated number) * 100%

1) Estimated Number = 2310

Actual Number = 3000

Thus:

Percent Error = (3000 - 2310)/3000 * 100%

Percent error = 23%

2) Estimated Number = 17600

Actual Number = 21300

Thus:

Percent Error = (21300 - 17600)/17600 * 100%

= 21%

3) Estimated Number = 4.5

Actual Number = 4

Thus:

Percent Error = (4 - 4.5)/4.5 * 100%

= 11%

4) Estimated Number = 15000

Actual Number = 12500

Thus:

Percent Error = (12500 - 15000)/15000 * 100%

= 16.67%

5) Estimated Number = 350

Actual Number = 200

Thus:

Percent Error = (200 - 350)/350 * 100%

= 43%

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X
-3
-1
1
-1
y
5
2
-1
4
The table above:

Answers

The task here is to determined where the table given is a function. Thus we can state that the above table is NOT a function. This is called Non-Function Relation.

What is the reason for the above assertion?

The table given above is suggestive of the relationship between the values of x and y given.

It may be inferred that x values are the input values while the y values are the output.

So the criteria for the values on the table to constitute a function is that each input value (x) must be associated with only one value of y.

From the table, it is clear to see that this rule if violated. You have the x value (-1) being associated with the y values of 2 and 4 respectively, hence, it is proper to conclude that the table is NOT  a function.

This is called a Non-Function Relation.

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please help, asap. for an assignment

Answers

The value of m in terms of other variables of the right angle triangle is: m = √(p² - n²)

How to use pythagoras theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

However, it can also be written in the form of c² = a² + b²

From the given triangle, we can write as:

p² = m² + n²

m² = p² - n²

m = √(p² - n²)

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If an a × b matrix is multiplied by a c x d matrix, what must be true in order to get an
answer?

Answers

The condition that must be true in order to get a correct answer will be that the number found in the columns of the first matrix must be equal to the numbers in the rows of the second matrix.

What is a matrix?

A matrix is a rectangular arrangement of numbers that can be used to demonstrate mathematical properties. Often, two or three matrices can be evaluated to determine an outcome.

For the given matrices, a × b  and c x d the only way to arrive at a correct answer will be if the figures found in the columns of the first matrix equal the figures found in the rows of the second matrix.

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Nicole‘s mother put tiles on a section of the kitchen floor. The section included 5 rows with 13 tiles in each row. Each tile cost $2. How much money did Nicole’s mother spend on the tiles?

Answers

If each tile cost $2 then the amount spend by  Nicole’s mother on tiles is $130

Given that Nicole‘s mother put tiles on a section of the kitchen floor.

The section included 5 rows with 13 tiles in each row

Each tile cost $2.

To find the total amount spend by Nicolas mother on tiles we have to find the number of tiles

Number of tiles =5×13

=65 tiles

Now let us find the amount

Total amount on tiles = 2×65

=$130

Hence, if each tile cost $2 then the amount spend by  Nicole’s mother on tiles is $130

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The letters in the word HORSES are arranged in a row.How many unique arrangements are there of the letters?
Enter your answer in the box.
_____ arrangements

Answers

Answer:

180

Step-by-step explanation:

The word HORSES has 6 distinct letters, so we can arrange them in 6! = 720 ways if all the letters were unique.

However, in this case, the letters E and S are repeated twice. Therefore, we must divide by the number of arrangements of the repeated letters to avoid counting the same arrangement more than once.

The letter E appears twice, so there are 2! = 2 ways to arrange the E's within the word. Similarly, the letter S appears twice, so there are 2! = 2 ways to arrange the S's within the word.

Thus, the total number of unique arrangements of the letters in the word HORSES is:

6! / (2! × 2!) = 720 / 4 = 180

Therefore, there are 180 unique arrangements of the letters in the word HORSES.

Find the sum of the first 5 terms of the geometric sequence 3, -9, 27,....

Answers

The sum of the first 5 terms of the sequence is 183.

We have,

The first term of the sequence is 3 and the common ratio is -3.

We can use the formula for the sum of the first n terms of a geometric sequence:

Sn = a(1 - r^n) / (1 - r)

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

Plugging in the values we have:

S5 = 3(1 - (-3)^5) / (1 - (-3))

Simplifying:

S(5) = 3(1 + 243) / 4

S(5) = 3(244) / 4

S(5) = 183

Therefore,

The sum of the first 5 terms of the sequence is 183.

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1. An account is opened with an initial deposit of $6,500
and earns 3.6% interest compounded semi-annually.
What will the account be worth in 20 years?

Answers

The balance of the account after 20 years is given as follows:

A(20) = $13,268.58.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

The parameters for this problem are given as follows:

P = 6500, r = 0.036, n = 2, t = 20.

Hence the balance of the account after 20 years is given as follows:

A(20) = 6500 x (1 + 0.036/2)^(2 x 20)

A(20) = $13,268.58.

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answer this please i need help with this problem

Answers

The value of x in the triangle is 1/√3

We know that tan function is the ratio of opposite side and adjacent side

In triangle, for angle 60 degrees the opposite side is 1 unit

Adjacent side is x units

tan 60 = opposite side/adjacent side

√3= 1/x

We need to find value of x

Apply cross multiplication

x=1/√3

Hence, the value of x in the triangle is 1/√3

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NO LINKS!! URGENT HELP PLEASE!!!

Find the equation of a parabola with a vertex at (-2, 6) and that passes through the (-4, -5)

Answers

Answer:

[tex]\frac{-11}{4} (x + 2)^2 + 6.[/tex]

Step-by-step explanation:

As we know that

The standard equation of a parabola with vertex at point (h,k) is given by:

[tex]y = a(x-h)^2 + k[/tex]

where (h,k) is the vertex

and "a" is a coefficient that determines the direction and shape of the parabola.

We know that the vertex of our parabola is (-2, 6),

so we can substitute those values into the equation to get:

[tex]y = a(x + 2)^2 + 6[/tex]

Now finding a.

Since the parabola passes through point (-4, -5). Substituting these coordinates into the equation, we get:

-5 = a(-4 + 2)^2 + 6

-5 =a(-2)^2+6

-5=4a +6

-5-6=4a

4a=-11

a =- 11/4

Substituting the value of an equation second, we get

[tex]\frac{-11}{4} (x + 2)^2 + 6.[/tex]

Therefore, the equation of the parabola with a vertex at (-2, 6) and passing through (-4, -5) is y =

[tex] \frac{-11}{4} (x + 2)^2 + 6[/tex]

Answer:

[tex]y=-\dfrac{11}{4}(x+2)^2+6[/tex]

Step-by-step explanation:

The vertex form of a parabola is:

[tex]\boxed{y=a(x-h)^2+k}[/tex]

where:

(h, k) is the vertex."a" is the leading coefficient.

Given the vertex is at (-2, 6), substitute h = -2 and k = 6 into the equation:

[tex]y=a(x-(-2))^2+6[/tex]

[tex]y=a(x+2)^2+6[/tex]

To find the value of a, substitute the point (-4, -5) into the equation and solve for a:

[tex]\begin{aligned}-5&=a(-4+2)^2+6\\-5&=a(-2)^2+6\\-5&=4a+6\\-5-6&=4a+6-6\\-11&=4a\\\dfrac{-11}{4}&=\dfrac{4a}{4}\\-\dfrac{11}{4}&=a\\a&=-\dfrac{11}{4}\end{aligned}[/tex]

Substitute the found value of a back into the equation:

[tex]y=-\dfrac{11}{4}(x+2)^2+6[/tex]

Therefore, the equation of a parabola with a vertex at (-2, 6) and that passes through the point (-4, -5) is:

[tex]\boxed{y=-\dfrac{11}{4}(x+2)^2+6}[/tex]

A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x

B.45(x-3)=60x

C.60(x-3)=45x

D.60(x+3)=45x

Answers

Answer:

A. 45(x+3)=60x

Step-by-step explanation:

The pairs of polygons below are similar. Give the scale factor, perimeter ratio, and area ratio of Figure A to Figure B

Answers

1.) The scale factor = 4

The perimeter ratio = 1:3

The area ratio = 1:16

How to calculate the scale factor of the given shapes?

To calculate the scale factor of the given shapes, the formula that should be used would be ;

Scale factor = Bigger dimensions/ Smaller dimensions

Length of the bigger rectangle (B) = 16

Length of the smaller rectangle (A) = 4

The scale factor = 16/4 = 4

The perimeter = 2(l+w)

length B = 16

width B = 8

perimeter B = 2(16+8)

= 2(24) = 48

Length A = 4

width A = 2

perimeter A =2(4+2)

= 16

The perimeter ratio = A:B = 16:48 = 1:3

Area = length×width

length A = 4

width A = 2

Area A = 4×2 = 8

length B = 16

width B = 8

area B = 8×16= 128

Area ratio of A:B = 8:128 = 1:16

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CAN SOMEONE HELP WITH THIS QUESTION?

Answers

The numeric value of the function f(x) at x = 5 is given as follows:

f(5) = 74.75.

How to obtain the function f(x)?

The second derivative of the function f(x) is given as follows:

f''(x) = 2x + 6sin(x).

Integrating the second derivative, the first derivative of the function is given as follows:

f'(x) = x² - 6cos(x) + K.

When x = 0, y' = 2, hence the constant K is given as follows:

2 = -6 + K

K = 8.

Hence:

f'(x) = x² - 6cos(x) + 8.

Integrating the first derivative, the function is given as follows:

f(x) = x³/3 - 6sin(x) + 8x + K.

When x = 0, y = 4, hence the constant K is given as follows:

K = 4.

Then:

f(x) = x³/3 - 6sin(x) + 8x + 4.

The numeric value at x = 5 is given as follows:

f(5) = 5³/5 - 6sin(5) + 8(5) + 4

f(5) = 74.75.

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The volume of the triangular pyramid below is 210 units³. Find the value of x.

Answers

The value of x as shown in the triangular prism is 14 unit.

What is traingular pyramid?

Triangular pyramids are formed solely from triangles. The 3 triangular sides slant upwards to form the triangular base.

To calculate the value of x of the rectangular pyramid, we use the formula below

Formula:

V = bhH/6............................. Equation 1

Where:

V = volume of the Pyramidb = Base of the triangleh = Height of the triangleH = Height of the pyramid

From the diagram and the question,

Given:

V = 210 unit³b = 10h = 9 H = x

Substitute these values into equation 1 and solve for x

210 = (10×9×x)/6210 = 15xx = 210/15x = 14 unit

Hence, the value of x is 14 unit.

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If this figure is cut along the dotted line, what 2 shapes will be made?

Answers

The shapes that would be made if the figure is cut along the dotted line are  a right angled- triangle and a semi - circle.

How to find the shapes ?

Upon reviewing this shape, we observe that it is comprised of two distinct shapes: a right-angled triangle and a semicircle.

This means that if the figure was cut along the dotted lines that joined them, the shapes that would be made are the same shapes which are a right triangle and a semi - circle.

In conclusion, the shapes would be a semi - circle and right triangle.

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Factor each polynomial using difference of squares. Check for common factors first.

a) x² – 36

b) 3x² - 12


Factor the following using the trinomial method. Check for common factor first.

a) x² + 6x + 9

b) 4x² - 8x - 60

PLS HELP!!!!! I ONLY HAVE 2 HOURS!!!

Answers

The results of factoring the polynomials are (x - 6)(x + 6), 3(x - 2)(x + 2), (x + 3)² and 4(x + 3)(x - 5)

Factoring using difference of squares

First, we have

x² – 36

Applying the property of difference of squares, we have

(x - 6)(x + 6)

Next, we have

3x² - 12

Factor out 3

3(x² - 4)

Applying the property of difference of squares, we have

3(x - 2)(x + 2)

Factoring the following using the trinomial method

First, we have

x² + 6x + 9

Expand and factorize

x² + 6x + 9 = x² + 3x + 3x + 9 = (x + 3)²

Next, we have

4x² - 8x - 60

Expand and factorize

4x² - 8x - 60 = 4(x² - 2x - 15) = 4(x + 3)(x - 5)

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HELP ASAP I NEED DONE WITHIN 5 MINUTES OR A LITTLE MORE AND ALSO BRAINLIEST
The line plot represents the afterschool activities at 19 middle schools.

A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 6, 8, and 26. There are two dots above 10, 12, 18, 20, and 22. There are three dots above 14 and 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.

Which statement best describes the spread and distribution of the data?

The data is symmetric with an approximate range of 20. The lowest value of 6 might mean that most students did not participate in activities.
The data is skewed with an approximate range of 20. The most frequent number of activities was 16 or more, which might mean that most of the students participated in the activities.
The data is symmetric with an approximate range of 20. The most frequent number of activities was 14 and 16, which might mean about half of the students in each class participated.
The data is bimodal with an approximate range of 20. This means that the most frequent number of activities was either 4 or 26, which might mean that the activities vary in each school.

Answers

Answer:  the best answer is option A: the data is symmetric with an approximate range of 20. The lowest value of 6 might mean that most students did not participate in activities.

Step-by-step explanation: From the line plot, we can see that the data is not symmetric because the dots are not equally distributed on both sides of the plot. Therefore, we can eliminate options A and C.

Option D suggests that the data is bimodal, meaning that there are two peaks in the distribution. However, there is no clear indication of two peaks in the plot. Therefore, we can eliminate option D.

Option B suggests that the data is skewed, and the most frequent number of activities is 16 or more. However, this is not the case as the highest number of dots is above 14 and 16. Therefore, we can eliminate option B.

The position (in meters) of a particle per respect to time (in seconds) is defined by the
following functions (t)=t4-16t³+72t² +5. Find the maximal and minimal value for
the speed of the particle for t E [1, 7].

Answers

The maximum of 1,159 m/s occurs when t = 7, and the minimum of 16 m/s occurs when t = 6.

How to calculate the value

It should be noted that upon deriving v(t), an equation of 12t² - 96t + 144 is produced. Subsequently, v'(t) must be set to zero, resulting in a quadratic equation of 12t² - 96t + 144 = 0, requiring division of both sides by 12 to produce t² - 8t + 12 = 0.

The quadratic can now be factored to obtain (t - 2)(t - 6) = 0, indicating that critical points lie on the values t = 2 and t = 6.

After calculating these values— v(1) = 100 m/s, v(2) = 64 m/s, v(6) = 16 m/s and v(7) = 1159 m/s—it is clear that the maximum of 1,159 m/s occurs when t = 7, and the minimum of 16 m/s occurs when t = 6.

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cos xº [Hint: Change degree into radian] find the derivative from definition ​

Answers

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

Finding the derivative of the function

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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Using the graphing function on your calculator, find the solution to the system
of equations shown below.
OA. No solution
B. x = -8, y = 2
OC. x= 12, y = 3
D. More than 1 solution
3y-12x=18
2y-8x=12
SUBMIT

Answers

The solution to the system of equations is (d) More than 1 solution

Finding the solution to the system of equations

From the question, we have the following parameters that can be used in our computation:

3y-12x=18

2y-8x=12

Using the graphing function on a calculator, we have the solution to be

Infinite many solutions

This is so because the equations 3y-12x=18 and 2y-8x=12 are equivalent equations

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